Even on the 30th day of their separation, she went back to the Mansion to gather some books for Hope, and the Prince was there too as he was annoying Annabeth to disclose Ivy's location.
So she patiently hides inside the room on the second floor, waiting for Annabeth to chase the Prince away.
"No! We are done here. As much as I enjoy your visit, but today happens to be my workday. So if you want to ask about her location again, then come back tomorrow instead."
"But! Miss Annabeth—!"
*BANG!* Annabeth slammed the door shut, leaving the boy outside mercilessly.
Then she peeps through her window to watch the Prince leave.
After confirming that the boy had left the porch, Annabeth says, "He's gone."
"Thanks, Godmother. I owe you one."
Ivy comes out from the shadows after unraveling her camouflage magic.